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Finding the Fourth Proportional to 260.89, 392.64 and 196.23

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Solution

The fourth proportional to 260.89, 392.64 and 196.23 is: 295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.89 : 392.64 = 196.23 : x
  2. Step 2: Convert to fraction form
    260.89/392.64 = 196.23/x
  3. Step 3: Cross multiply
    260.89x = 392.64 × 196.23
  4. Step 4: Simplify right side
    260.89x = 77,046.83
  5. Step 5: Solve for x
    x = 77,046.83/260.89
  6. Step 6: Final answer
    x = 295.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.